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Finding the Third Proportional to 6,535.27 and 14,318.44

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Solution

The third proportional to 6,535.27 and 14,318.44 is: 31,370.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.27 : 14,318.44 = 14,318.44 : x
  2. Step 2: Convert to fraction form
    6,535.27/14,318.44 = 14,318.44/x
  3. Step 3: Cross multiply
    6,535.27x = 14,318.44 × 14,318.44
  4. Step 4: Simplify right side
    6,535.27x = 205,017,652.44
  5. Step 5: Solve for x
    x = 205,017,652.44/6,535.27
  6. Step 6: Final answer
    x = 31,370.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.